110106772323340 has 144 divisors (see below), whose sum is σ = 261345845210688. Its totient is φ = 38875164337152.

The previous prime is 110106772323313. The next prime is 110106772323397. The reversal of 110106772323340 is 43323277601011.

It is a happy number.

It is a super-2 number, since 2×110106772323340² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110106772323293 and 110106772323302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252670522 + ... + 253105918.

It is an arithmetic number, because the mean of its divisors is an integer number (1814901702852).

Almost surely, 2^{110106772323340} is an apocalyptic number.

110106772323340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110106772323340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130672922605344).

110106772323340 is an abundant number, since it is smaller than the sum of its proper divisors (151239072887348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110106772323340 is a wasteful number, since it uses less digits than its factorization.

110106772323340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438708 (or 438693 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 40.

The spelling of 110106772323340 in words is "one hundred ten trillion, one hundred six billion, seven hundred seventy-two million, three hundred twenty-three thousand, three hundred forty".